# Flywheel Torque Calculator, Formula, Flywheel Torque Calculation

## Flywheel Torque Calculator:

Enter the values of mass, m(kg) of the flywheel, radius, r(m) of the flywheel and angular acceleration, a(rad/s2) to generate the value of the flywheel torque, Tfw(N.m).

 Enter Mass of the Flywheel: kg Enter Radius of the Flywheel: m Enter Angular Acceleration: rad/s2 Result – Flywheel Torque: N.m

## Flywheel Torque Formula:

Flywheel torque calculation is essential for understanding the dynamics of rotational systems, particularly in engines and other machinery where energy storage and smooth operation are critical. The torque exerted by a flywheel is a measure of its ability to store or release energy based on its moment of inertia and the angular acceleration it undergoes.

The flywheel torque, Tfw(N.m) in Newton metre is equated by dividing the product of mass, m(kg) of the flywheel in kilogram, square of radius, r(m) of the flywheel in metre and angular acceleration, a(rad/s2) in radian per second square by 2.

The flywheel torque, Tfw(N.m)  = (m(kg) * r(m)2  / 2) * a(rad/s2)

Tfw(N.m)  = flywheel torque in Newton metre, N.m.

m(kg)  = mass of the flywheel in kilogram, kg.

r(m)  = radius of the flywheel in metre, m.

Flywheel Torque Calculation:

1. A flywheel with a mass of 100 kg and a radius of 0.5 metres is subjected to an angular acceleration of 4rad/s2. Determine the torque exerted by the flywheel.

The flywheel torque, Tfw(N.m)  = (m(kg) * r(m)2  / 2) * a(rad/s2)

Tfw(N.m)  = (100 * 0.52 / 2) * 4

Tfw(N.m)  = 12.5 * 4

Tfw(N.m)  = 50N.m.

2. A flywheel with a mass of 200 kg and a radius of 0.4 metres needs to exert a torque of 80 N.m. Find the required angular acceleration.

Given: m(kg) = 200kg, r(m)  = 0.4m, Tfw(N.m)  = 80N.m.

The flywheel torque, Tfw(N.m)  = (m(kg) * r(m)2  / 2) * a(rad/s2)

a(rad/s2) = Tfw(N.m)  * 2 / m(kg) * r(m)

a(rad/s2) = 80 * 2 / 200 * 0.42